Question

Use inspection to solve the equation x2=36169 , then select the correct solution set below. If there are no real solutions, select “There are no real solutions.”(1 point) Responses There are no real solutions. There are no real solutions. {613} left brace Start Fraction 6 over 13 End Fraction right brace {−613,613} left brace negative Start Fraction 6 over 13 End Fraction comma Start Fraction 6 over 13 End Fraction right brace {−613}

Answer 1

To solve the equation \( x^2 = 36169 \) using inspection, we can take the square root of both sides.

1. First, we find the square root of \( 36169 \).
2. \( \sqrt{36169} = 189 \) (since \( 189 \times 189 = 36169 \)).
3. This means \( x \) can be either \( 189 \) or \( -189 \).

Thus, the solution set is: \[ {-189, 189} \]

In the provided options, the closest corresponding response is:

{−613,613}

However, the correct values are \( {-189, 189} \). It seems there isn't an exact match among the given options. If those options are all that are available, the correct action would be to note that none truly reflect the solution set we derived from the equation \( x^2 = 36169 \).